cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A298117 Array read by antidiagonals: T(m,n) = number of Eulerian cycles in the torus grid graph C_m X C_n.

This page as a plain text file.
%I A298117 #13 Feb 16 2025 08:33:53
%S A298117 2,4,4,8,40,8,16,320,320,16,32,2368,8616,2368,32,64,16832,207496,
%T A298117 207496,16832,64,128,116608,4788808,15639936,4788808,116608,128,256,
%U A298117 793088,108326760,1116199200,1116199200,108326760,793088,256
%N A298117 Array read by antidiagonals: T(m,n) = number of Eulerian cycles in the torus grid graph C_m X C_n.
%H A298117 Andrew Howroyd, <a href="/A298117/b298117.txt">Table of n, a(n) for n = 1..105</a>
%H A298117 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/EulerianCycle.html">Eulerian Cycle</a>
%H A298117 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TorusGridGraph.html">Torus Grid Graph</a>
%e A298117 Array begins:
%e A298117 =========================================================================
%e A298117 m\n|  1      2         3           4              5                 6
%e A298117 ---|---------------------------------------------------------------------
%e A298117 1  |  2      4         8          16             32                64 ...
%e A298117 2  |  4     40       320        2368          16832            116608 ...
%e A298117 3  |  8    320      8616      207496        4788808         108326760 ...
%e A298117 4  | 16   2368    207496    15639936     1116199200       77643032832 ...
%e A298117 5  | 32  16832   4788808  1116199200   242230440480    50917973008584 ...
%e A298117 6  | 64 116608 108326760 77643032832 50917973008584 32098460087825856 ...
%e A298117 ...
%Y A298117 Rows 2..4 are A298198, A282621, A298197.
%Y A298117 Main diagonal is A297385.
%Y A298117 Cf. A212801, A298119.
%K A298117 nonn,tabl
%O A298117 1,1
%A A298117 _Andrew Howroyd_, Jan 12 2018